Question

Show transcribed image textSuppose a digital communications system employs gaussian-shaped pulses of the form x(t) = exp(-pi a2t2) To reduce the level of intersymbol interference to a relatively small amount, we impose the condition that x(T) = 0.01, where T is the symbol interval. The bandwidth W of the pulse x(t) is defined as that value of W for which X(W)/X(0) = 0.01, where X(f) is the Fourier transform of x(t). Determine the value of W and compare this value to that of raised-cosine spectrum with 100% rolloff.